Plane rotations and Hamilton-Dirac mechanics
classification
🧮 math-ph
math.MP
keywords
constraintscanonicalequationshamilton-dirachamiltonianmechanicscheckedcoincide
read the original abstract
Canonical formalism for SO(2) is developed. This group can be seen as a toy model of the Hamilton-Dirac mechanics with constraints. The Lagrangian and Hamiltonian are explicitly constructed and their physical interpretation are given. The Euler-Lagrange and Hamiltonian canonical equations coincide with the Lie equations. It is shown that the constraints satisfy CCR. Consistency of the constraints is checked.
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